# Watchmaking Gear Calculator AI Agent Connect

> Deterministic engine for horological gear train ratios, beat rates, and power reserves.

## Overview
- **Category:** science
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_LgdSqaiB2lzOx9Vmn2SWcvxQJjRYcicHWZaRNkMD/ai-agent-connect
- **Tags:** horology, gear-train, watchmaking, mechanical-engineering, physics

## Description

This MCP server provides precise mechanical calculations for horological movements. It allows AI agents to determine exact gear ratios per stage, total train ratios, and beat rates (vibrations per hour) for Swiss lever escapements. Users can also estimate power reserves based on barrel turns and validate escapement stability using balance wheel inertia. Use `calculate_gear_train` to find the timing of a movement, `estimate_power_reserve` to calculate operational duration, and `validate_escapement_physics` to ensure the configuration is theoretically sound.

## Tools

### calculate_gear_train


### estimate_power_reserve


### validate_escapement_physics


## Prompt Examples

**Prompt:** 
```
Calculate the beat rate for a movement with a 60-tooth barrel, 60-tooth center wheel, 6-tooth center pinion, 60-tooth third wheel, 6-tooth third pinion, 60-tooth fourth wheel, 6-tooth fourth pinion, 15-tooth escape wheel, and 6-tooth escape pinion.
```

**Response:** 
```
The total train ratio is 100, and the beat rate is 3,000 vph.
```

**Prompt:** 
```
Estimate the power reserve for a movement with a total train ratio of 400 and 30 barrel turns.
```

**Response:** 
```
The estimated power reserve is 7.5 hours.
```

**Prompt:** 
```
Is an escapement with 15 escape wheel teeth and a balance wheel inertia of 0.05 stable?
```

**Response:** 
```
Yes, the escapement configuration is stable with a theoretical frequency of 4Hz.
```

## Frequently Asked Questions

**How is the beat rate calculated?**
The beat rate is the product of the total train ratio and the number of escape wheel teeth, multiplied by two for the Swiss lever escapement mechanics.

**What happens if a pinion is larger than its driving wheel?**
The `calculate_gear_train` tool will flag this as a mathematically and mechanically impossible gear mesh.

**Can I estimate how long a watch will run?**
Yes, by using the `estimate_power_reserve` tool with the total train ratio and the number of barrel turns.